ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 14 (Application of Trigonometry)

• The law of of sines A
• The law of tangents B
• The law of consines C
• None of these D

A kite flying at a height of 67.2 m is attached to a fully stretched string inclined at an angle of 53 to the horizontal, the length of the string

• 62m A
• 82m B
• 73m C
• 57m D

• 
  A
• 
  B
• 
  C
• 
  D

If the angle of a triangle are in the ratio 2 : 3 : 7, the triangle is

• Obtuse A
• Acute B
• Right angle C
• Isosceles D

AB is a vertical pole and C is its middle point. The end A is on the level ground and P is any point on the level ground other than A. the portion CB subtends and angleβat P. If AP : AB = 2 : 1 thenβ=

• 
  A
• 
  B
• 
  C
• 
  D

Area of inscribed circle is

• π R2 A
• π η2 B
• π r22 C
• π r2 D

A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60° and when he retires 40 meters away from the tree the angle of elevation becomes 30°. The breadth of the river is

• 40 m A
• 30 m B
• 20 m C
• 60 m D

120° degrees are equal to how many radians?

• 
  A
• 
  B
• 
  C
• 
  D

The horizontal distance between the two towers is 60 m. the angular elevation of the top of the taller tower as seen from the top of the shorter one is 30°. If the height of the taller tower is 150 m, the height of the shorter one is

• 116 m A
• 200 m B
• 216 m C
• None of these D

IfΔABC is right, law of cosine reduce to

• Law of sine A
• Law of tangent B
• Phthogorous theorem C
• Hero's formula D

The law of tangents is ______

• 
  A
• 
  B
• 
  C
• 
  D

If the flag-staff 6 meters high placed on the top of a tower. Makes the shadow 2√3 m on the ground, then the angle of elevation of the sun is

• 30^ο A
• 35^ο B
• 45^ο C
• 60^ο D

If five triangles are constructed having sides of the lengths indicated below, the triangle that will NOT be a right triangle is

• 8, 15, 17 A
• 3, 4, 5 B
• 12, 15, 18 C
• 5, 12, 13 D

If a, b, c are the measures of the sides of a triangle then

• 
  A
• 
  B
• 
  C
• 
  D

The angle of elevation of the tops of two towers at the middle point of the line joining the foots of the tower are 60^οand 30^οrespectively. The the ratio of the heghts of the tower is

• 2 : 1 A
• 3 : 1 B
• 1 : 2 C
• 1 : 3 D

• 
  A
• 
  B
• 
  C
• 
  D

• 30° A
• 60° B
• 45° C
• None of these D

The triangle that does not have a right angle is called.

• Isosceles triangle A
• right angle triangle B
• equivalent triangle C
• oblique triangle D

• R A
• 2R B
• r C
• 2r D

If sided of𝜟ABC are 16,20,and 33, then the value of the greatests angle to

• 150𝜊 20' A
• 132𝜊 35' B
• 101𝜊 25' C
• 160𝜊 50' D

• 
  A
• 
  B
• 
  C
• 
  D

The law of consines is

• 
  A
• 
  B
• 
  C
• 
  D

In ladder leaning against a vertical well makes an angle of 24^𝜊with the wall, Its foot is 5m from the wall, its length is

• 5.47m A
• 2m B
• 7m C
• 6.29m D

• 
  A
• 
  B
• 
  C
• 
  D

The quadratic equation 8 sec2θ - 6 secθ +1 =0 has

• Infinitely many roots A
• Exactly two roots B
• Exactly four roots C
• No roots D

A vertical pole is 8m high and the length of its shadow is 6m. The angle of elevation of the sun of the moment is

• 57𝜊 A
• -48𝜊 B
• 27𝜊 C
• 53𝜊 D

The angle of elevation of a tower from a point A due south of it is x and from a point B due east of A is y. If AB = 1, then the height h of the tower is given by

• 
  A
• 
  B
• 
  C
• 
  D

At a point 15 meters away from the base of a 15 meters high house, the angle of elevation of the top is

• 90° A
• 60° B
• 30° C
• 45° D

A circle drawn inside a triangle and touching its sides is called ______;

• Circumcirle A
• Incircle B
• Escribed circle C
• unit circle D

IfΔABC is right, law of cosine reduce to

• Law of sine A
• Law of tangent B
• Phthogorous theorem C
• Hero's formula D